Melynda went shopping for holiday presents. She bought boxes of chocolates and boxes of ornaments for her coworkers. Boxes of chocolate cost $$ \$ 8 $$ each and boxes of ornaments cost $$ \$ 12 $$ each. She buys a total o 17 boxes and spends $$ \$ 168 $$. How many boxes of chocolates and how many boxes of ornaments does she bu Using $$ C $$ for number of chocolate boxes and $$ O $$ for number of ornament boxes. Setup but do not solve the equations necessary to answer the questions.

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The system of equations to solve is: 1. $$ C + O = 17 $$ 2. $$ 8C + 12O = 168 $$ To set up the equations based on the information provided, we can define the variables as follows: - Let $$ C $$ be the number of boxes of chocolates. - Let $$ O $$ be the number of boxes of ornaments. From the problem, we have two key pieces of information: 1. The total number of boxes purchased is 17: $$ C + O = 17 $$ 2. The total amount spent is $168, with boxes of chocolates costing $8 each and boxes of ornaments costing $12 each: $$ 8C + 12O = 168 $$ Thus, the system of equations we need to solve is: 1. $$ C + O = 17 $$ 2. $$ 8C + 12O = 168 $$ These equations can be used to find the values of $$ C $$ and $$ O $$.

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